NAME    factor - smallest prime factor not exceeding specified limitSYNOPSIS    factor(n [, limit [, err]])TYPES    n		integer    limit	integer with abs(limit) < 2^32, defaults to 2^32 - 1    err		integer    return	positive integer or errDESCRIPTION    This function ignores the signs of n and limit, so here we shall    assume n and limit are both nonnegative.    If n has a prime proper factor less than or equal to limit, then    factor(n, limit) returns the smallest such factor.	NOTE: A proper factor of n>1 is a factor < n.  In other words,	      for n>1 is not a proper factor of itself.  The value 1	      is a special case because 1 is a proper factor of 1.    When every prime proper factor of n is greater than limit, 1 is    returned.  In particular, if limit < 2, factor(n, limit) always    returns 1.  Also, factor(n,2) returns 2 if and only if n is even    and n > 2.    If 1 < n < nextprime(limit)^2, then f(n, limit) == 1 <==> n is prime.    For example, if 1 < n < 121, n is prime if and only if f(n,7) == 1.    If limit >= 2^32, factor(n, limit) causes an error and factor(n,    limit, err) returns the value of err.EXAMPLE    ; print factor(35,4), factor(35,5), factor(35), factor(-35)    1 5 5 5    ; print factor(2^32 + 1), factor(2^47 - 1), factor(2^59 - 1)    641 2351 179951LIMITS    limit < 2^32LINK LIBRARY    FLAG zfactor(ZVALUE n, ZVALUE limit, ZVALUE *res)SEE ALSO    isprime, lfactor, nextcand, nextprime, prevcand, prevprime,    pfact, pix, ptest## Copyright (C) 1999-2006  Landon Curt Noll#### Calc is open software; you can redistribute it and/or modify it under## the terms of the version 2.1 of the GNU Lesser General Public License## as published by the Free Software Foundation.#### Calc is distributed in the hope that it will be useful, but WITHOUT## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY## or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU Lesser General## Public License for more details.#### A copy of version 2.1 of the GNU Lesser General Public License is## distributed with calc under the filename COPYING-LGPL.  You should have## received a copy with calc; if not, write to Free Software Foundation, Inc.## 59 Temple Place, Suite 330, Boston, MA  02111-1307, USA.#### @(#) $Revision: 29.5 $## @(#) $Id: factor,v 29.5 2006/06/25 22:16:55 chongo Exp $## @(#) $Source: /usr/local/src/cmd/calc/help/RCS/factor,v $#### Under source code control:	1995/12/18 12:34:57## File existed as early as:	1995#### chongo <was here> /\oo/\	http://www.isthe.com/chongo/## Share and enjoy!  :-)	http://www.isthe.com/chongo/tech/comp/calc/